Least Common Multiple (LCM) of 150 and 144
The least common multiple (LCM) of 150 and 144 is 3600.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 150 and 144?
First, calculate the GCD of 150 and 144 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 144 = 1 remainder 6 |
| 2 | 144 ÷ 6 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 170 | 32810 |
| 50 and 160 | 800 |
| 189 and 21 | 189 |
| 59 and 188 | 11092 |
| 160 and 135 | 4320 |